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Curl-Free Ginzburg-Landau Vortices

Sagun Chanillo·Michael Kiessling
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Abstract

For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.

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Sagun Chanillo, Michael Kiessling. 1998-04-24. Curl-Free Ginzburg-Landau Vortices. https://arxiv.org/abs/math/9804118

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